ShaniahA227516 ShaniahA227516
  • 03-11-2022
  • Mathematics
contestada

In the equation 3x + 7y = 21, at what point is the x-axis intersected?

Respuesta :

VedhA645615 VedhA645615
  • 03-11-2022

To find:

The point at which the equation intersects the x-axis.

Solution:

The point at which the equation intersects the x-axis is the x-intercept.

Change the given equation into the intercept form as follows:

[tex]\begin{gathered} 3x+7y=21 \\ \frac{3x}{21}+\frac{7y}{21}=\frac{21}{21} \\ \frac{x}{7}+\frac{y}{3}=1 \end{gathered}[/tex]

From the equation, it is clear that the x-intercept is 7. So, the point is (7, 0).

Thus, the answer is (7, 0).

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